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Stability and stabilization of piecewise affine and hybrid systems: an LMI approach

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3 Author(s)
Mignone, D. ; Inst. fur Autom., Eidgenossische Tech. Hochschule, Zurich, Switzerland ; Ferrari-Trecate, G. ; Morari, M.

In this paper we present various algorithms both for stability analysis and state-feedback design for discrete-time piecewise affine systems. Our approach hinges on the use of piecewise quadratic Lyapunov functions that can be computed as the solution of a set of linear matrix inequalities. We show that the continuity of the Lyapunov function is not required in the discrete-time case. Moreover, the basic algorithms are made less conservative by exploiting the switching structure of piecewise affine systems and by using relaxation procedures

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Decision and Control, 2000. Proceedings of the 39th IEEE Conference on  (Volume:1 )

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